Equations are statements that have equal values, when compared
The true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11
How to determine the true statement
The equation is given as:
[tex]x^2 + 10x = 11[/tex]
Rewrite as:
[tex]x^2 + 10x - 11 = 0[/tex]
Expand
[tex]x^2 + 11x - x - 11 = 0[/tex]
Factorize
[tex]x(x + 11) -1( x + 11) = 0[/tex]
Factor out x + 11
[tex](x -1)(x + 11) = 0[/tex]
Solve for x
x = 1 or x = -11
Hence, the true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11
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